Muhammad  S. Fiadh, Buthyna  Najad Shihab, 
    Visible Sub-Modules of a Module X Over a Ring R is Introduced,
    Journal of Engineering and Applied Sciences,
    Volume 13,Issue 24,
    2018,
    Pages 10349-10355,
    ISSN 1816-949x,
    jeasci.2018.10349.10355,
    (https://makhillpublications.co/view-article.php?doi=jeasci.2018.10349.10355)
    Abstract: The concept of visible submodule of a module X over a ring R is introduced (R is commutative ring
with identity and X is unitary R-module) where is a new concept not previously presented. As well as the
description of the visible radical submoule and many of the results own this concept has mad. Also, we have
presented a concept of V closure operation. Through this study we have been able to obtain many of the
results and characteristics that belong to those concepts above.
    Keywords: vclosure operation;pure submodule;strongly cancellation module;visible radical of submodule;Visible submodule;concepts